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Conjugate field and fluctuation-dissipation relation for the dynamic phase transition in the two-dimensional kinetic Ising model.

Conjugate field and fluctuation-dissipation relation for the dynamic phase transition in the two-dimensional kinetic Ising model. Research Abstract Details 

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  • Conjugate field and fluctuation-dissipation relation for the dynamic phase transition in the two-dimensional kinetic Ising model. Abstract Text:

    d t robbD T Robb,p a rikvoldP A Rikvold,a bergerA Berger,m a novotnyM A Novotny,

    The two-dimensional kinetic Ising model, when exposed to an oscillating applied magnetic field, has been shown to exhibit a nonequilibrium, second-order dynamic phase transition (DPT), whose order parameter Q is the period-averaged magnetization. It has been established that this DPT falls in the same universality class as the equilibrium phase transition in the two-dimensional Ising model in zero applied field. Here we study the scaling of the dynamic order parameter with respect to a nonzero, period-averaged, magnetic "bias" field, H(b) for a DPT produced by a square-wave applied field. We find evidence that the scaling exponent, delta(d), of H(b) at the critical period of the DPT is equal to the exponent for the critical isotherm, delta(e), in the equilibrium Ising model. This implies that H(b) is a significant component of the field conjugate to Q. A finite-size scaling analysis of the dynamic order parameter above the critical period provides further support for this result. We also demonstrate numerically that, for a range of periods and values of H(b) in the critical region, a fluctuation-dissipation relation (FDR), with an effective temperature T(eff)(T,P,H0) depending on the period, and possibly the temperature and field amplitude, holds for the variables Q and H(b). This FDR justifies the use of the scaled variance of Q as a proxy for the nonequilibrium susceptibility, partial differential Q/partial differential H(b), in the critical region.

    Conjugate field and fluctuation-dissipation relation for the dynamic phase transition in the two-dimensional kinetic Ising model. Publishing Authors By Initials

    dt robbDT Robb,pa rikvoldPA Rikvold,a bergerA Berger,ma novotnyMA Novotny,

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    Conjugate field and fluctuation-dissipation relation for the dynamic phase transition in the two-dimensional kinetic Ising model. Journal Published:

    PUBLICATION TYPE: Journal Article

    Journal: Physical review. E, Statistical, nonlinear, and so

    VOLUME: 76

    Page Numbers: 021124

    Journal Abbreviation:

    ISSN: 1539-3755

    DAY: 30

    MONTH: 08

    YEAR: 2007

    Conjugate field and fluctuation-dissipation relation for the dynamic phase transition in the two-dimensional kinetic Ising model. Information

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    LANGUAGE: eng

    NlmUniqueID: 101136452

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    AFFILIATION: School of Computational Science, Florida State University, Tallahassee, Florida 32306, USA. drobb@clarkson.edu

    Country: United States

    United States Research PublicationUnited States Research Publication

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    MEDLINETA: Phys Rev E Stat Nonlin Soft Ma

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